Finding the Fourth Proportional to 2,085.80, 3,114.18 and 1,878.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.80 : 3,114.18 = 1,878.44 : x
2. Step 2: Convert to fraction form
   2,085.80/3,114.18 = 1,878.44/x
3. Step 3: Cross multiply
   2,085.80x = 3,114.18 × 1,878.44
4. Step 4: Simplify right side
   2,085.80x = 5,849,800.28
5. Step 5: Solve for x
   x = 5,849,800.28/2,085.80
6. Step 6: Final answer
   x = 2,804.58